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389422248768 = 263272171395839
BaseRepresentation
bin1011010101010110101…
…11111111001101000000
31101020011111122221011200
411222223113333031000
522340014043430033
6454521554141200
740064150333100
oct5525327771500
91336144587150
10389422248768
11140175786333
1263580881800
132a951045147
1414bc3409200
15a1e2e65013
hex5aab5ff340

389422248768 has 504 divisors, whose sum is σ = 1384953897600. Its totient is φ = 103947411456.

The previous prime is 389422248749. The next prime is 389422248779. The reversal of 389422248768 is 867842224983.

389422248768 is a `hidden beast` number, since 3 + 8 + 94 + 2 + 2 + 2 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66690393 + ... + 66696231.

It is an arithmetic number, because the mean of its divisors is an integer number (2747924400).

Almost surely, 2389422248768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389422248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692476948800).

389422248768 is an abundant number, since it is smaller than the sum of its proper divisors (995531648832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

389422248768 is a wasteful number, since it uses less digits than its factorization.

389422248768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6007 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 389422248768 in words is "three hundred eighty-nine billion, four hundred twenty-two million, two hundred forty-eight thousand, seven hundred sixty-eight".